3648420 has 36 divisors (see below), whose sum is σ = 11067420. Its totient is φ = 972864.

The previous prime is 3648419. The next prime is 3648427. The reversal of 3648420 is 248463.

It can be written as a sum of positive squares in 2 ways, for example, as 2090916 + 1557504 = 1446^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9955 + ... + 10314.

Almost surely, 2^3648420 is an apocalyptic number.

3648420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3648420 is an abundant number, since it is smaller than the sum of its proper divisors (7419000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3648420 is a wasteful number, since it uses less digits than its factorization.

3648420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20284 (or 20279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3648420 is about 1910.0837677966. The cubic root of 3648420 is about 153.9459528112.

The spelling of 3648420 in words is "three million, six hundred forty-eight thousand, four hundred twenty".